What is the Least Common Multiple of 25386 and 25397?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 25386 and 25397 is 644728242.
LCM(25386,25397) = 644728242
Least Common Multiple of 25386 and 25397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25386 and 25397, than apply into the LCM equation.
GCF(25386,25397) = 1
LCM(25386,25397) = ( 25386 × 25397) / 1
LCM(25386,25397) = 644728242 / 1
LCM(25386,25397) = 644728242
Least Common Multiple (LCM) of 25386 and 25397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25386 and 25397. First we will calculate the prime factors of 25386 and 25397.
Prime Factorization of 25386
Prime factors of 25386 are 2, 3, 4231. Prime factorization of 25386 in exponential form is:
25386 = 21 × 31 × 42311
Prime Factorization of 25397
Prime factors of 25397 are 109, 233. Prime factorization of 25397 in exponential form is:
25397 = 1091 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 25386 and 25397.
LCM(25386,25397) = 21 × 31 × 42311 × 1091 × 2331
LCM(25386,25397) = 644728242
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